In: Finance
xkl plans a new project that will generate 187000 of continious cash flow each year for 8 years and additionally 108000 at the end of the project . if the continiously compounded rate of interest is 4 % estimate the pressent value of the cash flows
answer is 1,358,677.35
but details on how i get there please no excel
Annuity for 8 years = 187,000
Interest rate = 4%
PV of annuity (equal cash flow) = Annuity*PVIFA(4%,8)
= 187,000*6.7327 (PVIFA value is taken from the PVIFA table)
= = 1,259,014.90
Now, PV of additional cash receipt = 108,000 / 1.04^8
= 108,000 / 1.3686 = 78,914.54
Total PV = 1,259,014.90 + 78,914.54
= 1,337,929.44